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Finding the Third Proportional to 36,202,340,280 and 77,937,525,108

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Solution

The third proportional to 36,202,340,280 and 77,937,525,108 is: 167,786,330,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,280 : 77,937,525,108 = 77,937,525,108 : x
  2. Step 2: Convert to fraction form
    36,202,340,280/77,937,525,108 = 77,937,525,108/x
  3. Step 3: Cross multiply
    36,202,340,280x = 77,937,525,108 × 77,937,525,108
  4. Step 4: Simplify right side
    36,202,340,280x = 6,074,257,819,960,130,666,496
  5. Step 5: Solve for x
    x = 6,074,257,819,960,130,666,496/36,202,340,280
  6. Step 6: Final answer
    x = 167,786,330,192.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.